If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor. 2y + 3x 2y - 3x 3x + 2y 3x - 2y

asked Apr 20, 2023 223k views

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If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor.

2y + 3x
2y - 3x
3x + 2y
3x - 2y

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4 votes

Answer: 3x-2y

Explanation:

$27x^3-8y^3=\\\\(3x)^3-(2y)^3=\\\\(3x-2y)((3x)^2+3x*2y+(2y)^2)=\\\\(3x-2y)(9x^2+6xy+4y^2)\\\\Hence,\\\\3x-2y$

Red Hyena answered Apr 24, 2023

3.2k points

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